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CIP. /. 004. 4 ISBN 7 305 0458 7 Ⅰ.... Ⅱ.... Ⅲ. Ⅳ. G64. 505 CIP 004 0798 0093 05 8359693 05 835937 05 83686347 http / /press. nju. edu. cn nupress@public. ptt. js. cn 787 09 /6. 5 85 004 5 ISBN 7 305 0458 7 /G 793 3. 80

4 4 39 50 73 85 99 0 8 47 73

= [ ( + ) ( - ) ] 3 [ ( + ) 3 ( - ) ] 4 [ ( + ) 98 ( - ) ] 99 ( - ) ( + 99) = 00 99 = 50 99 3 994 + - 3 + - 3 3 + 3 3 5 5 5 + 37. 9 6 5 3 3 5 6 5 0 = 994 - + - 3 +4 - + 99-993 + - 3 + - 3 + + - 37. 9 5. 4. 5 6. 4 8 0. 8 = 3 3 5 5 5 + 5. 4 +. 5 6. 4 = 3. 6 + 6. 4 5. 4 +. 5 8 0. 8 = 54 + 80 = 334 + ( - 3 ) ( - ) ( + 3 ) + 99-99 99 A -. 5 + 8 3 ( - ) + ( + ) - 3 = + 3 = 4 98-99 = 4-5 3 + + 99-993 3 = - + 4-3 + + 994 [ 997] - 993 + - 3 = 994 + 66 6 = 997 + 66 6 = 63 6 ( -. 5 ) 6. 04 4 3. 9 + 3 3 4 + 6. 09 + 6 7 7 3. 9 + 6. 09 3 3 7 + 6 4 7 [ ] = 3. 9 +6. 09 + 3 3 7 +6 4 7 3

. 5 -. 5 +. 5 -. 5 6. 04 = 0 + 0 + 0 6. 04 = 0 + 0 = 0 48 = 9 73 = 3 7 3 663 = 3 3 7 45 = 5 7 7 35 = 5 7 748 = 7 = 48 73 663 45 35 748 5 00 00 00 003 00 00 003 8 00 003 + 00 = 00 003 00 004 = 00 003 003 = 00 00 004 = 003 004 = 3 + 3 + 4 3 + 7 3 36 + 548 36 3 5 + 6 3 + 4 3 + 7 3 36 548-86 = 3 36 548 3 5 36 + 548 = 36 548 + 548-86 = 36 36 + 548 36 = 548-86 + 548 36 36 + 548 36 = 36 + 548 36 = 7 45 73 73 3 45 35 9 3 3 7 = 3 7 3 5 7 7 5 7 7 = 9 98 3 + 4 6 +4 8 +7 4 3 5 + 6 0 +4 0 +7 35 995 A 3 = 5

9 ( + + 3 + 4 ) ( + 3 + 4 + 5 ) ( + + 3 + 4 + ) ( + 3 + ) 5 = 5 a - b = 5 0 + + 4 + 8 + 6 + 3 + 64 4 3 = ( 7 4-9 ) 4 6-6 = x = + + 4 + 8 + 6 + 3 + 3 + 3 4 + 3 4 5 64 x = + + + 4 + 8 + 6 + + + 0 3 - x = - 64 = 63 64 = 63 64 49 [ ( - 63 0 + 77 30-9 4 + 05 56 ) - 3 6 ] 4 990 49 = 7 7 63 = 7 9 77 = 7 9 = 7 3 05 = 7 5 a = + + 3 + 4 b = + 3 + 4 7 7 = a - b = - 7 9 +7 0 30-7 3 5 [ ( +7 4 56 ) = a ( b + 5 ) - ( a + 5 ) b - 3 ] 6 4 = a b + 5 a - a b - 5 b = [ 7 ( 7-9 0 + 30-3 4 + 5 56 ) - 3 6 ] 4 = [ 7 ( 3 + 4-4 - 5 + 5 + 6-6 - 7 + 7 + 8 ) - 3 6 ] 4 = 77-9 4 n n + n + = [ ] n n + - n + n + = - 3 + 3-3 4 + 3 4-4 5 + + 0 - ( ) = - ( ) = 5 3 = 5 46 3

4 3 + 3 6 + 5 + 7 0 + 9 30 + 3 4 = - 4 3 4 ( 4-7 ) 3 97 00 = 97 - ( 00) 998 = 3 3 4 + 3 4 7 + 3 7 0 + 3 ( + 0 3 3 + 97 00) = = + 3 + 5 + 7 + 9 + 3 ( - 4 + 4-7 + 7-0 + 0 + ( 6 + + 0 + 30 + 4) - 3 + + 97-00) = 36 + ( - 3 + 3-4 + 4 - = 5 3 - ( 00) + 5-6 + 6 - = 7 ) 3 99 00 = 33 00 = 36 + ( - 7 ) = 36 5 4 4 4 + 4 6 + 6 8 + 8 0 + 0 4-4 4 6 4-6 + ( 8 - ) = - 4 + 4-6 + 6-8 0 + 0 = - 4 + 4-6 + 6-8 + 8-0 + 0 = 5 4 + 4 7 + 7 0 + 0 3 + + 97 00 4 7 = 6 + + + + + 3 + + + + + 00 + + 3 + + n = n n + + + 3 + + n = n n + = n - n + + = ( - 3 ) + + 3 = 3-4 = + 3 + 3 4 + + 00 + 00 = + 3 + 3 4 + + 00 0 = + ( - 3 + 3-4 + + 00-0) = + - 0

= 99 0 d n n + d = n - n + d n + n + n n + = n + + n 7 39 37 38 + 37 38 8. 4 7 9 4 7 5 9 998 9. 9 + 9 + 7 4 + 3 8 + 8 6 56 4 + 5 3 0. 8 + 64 + 4 3 + 8 6 + 6 8 + 3 4 + 64 9. - 3 ( - ) - 4 6 3. 9 ( 7 + 7 9 ) 5 - ( 7 + 5 7 9 9 ) - 8 0-3 9 993. 38 38 38 30. ( - 36 ) + ( 9-5 36 ) + ( - 3 36 ) 39 + +3 +4 +5 +6 +5 +4 +3 + + 3. 666666 666666 4. 7 4480 8333 934 5909 8556 3555 n n + = n - 5. 0 94 94 (. 65-0 n + 95 95 + 7 0 94 0 95 ) 47. 5 0. 8. 5 3 4 + 6 48 + 3 9 7 6. 4 + 4 8 + 3 6 7. 995 + 994 996 995 996-997 + 996 998 997 998-994 + 993 995 994 995 - + 996 + 995 997 996 997-8. 04 + 5 + 4 56 + + 3 ( 4) 3 ( 5 7) 3 ( - 3 5) 3 ( - 6 8) + 5-9 + 3-7 + 7-36 36 36 5 + +

6 3. + 3 4 + 7 8 + 5 6 + 3 3 + 63 64 + 7 8 + 55 56 00 A 34 + 4567 7890 3. 4568 7890-6656 000 4. ( 3 33. ( - ) ( - 3 ) ( 3-4 ) + 3 + 4 + + 60 ) + 3 + ( 4 + 4 5 6 7 5 ( 4-5 ) ( 5-6 ) ( 6-7 ) ( 7-8 ) + + 60 ) + 3 ( 4 + 3 5 + + 3 60 ) + + 58 ( 8 ( 8-9 ) ( 9-9 59 0) + 58 60 ) + 59 60 00 00 4. + + + 8 ( + 3 + 34. 999 + 5 999 + 6 999 3 + 6 999 + 999 + 6 + ) - + 9 + + 9 + 3 + + ( 8 ) 00 + 3 + 5 + + 00 35. 003 + 005 + + 4003 3579468 36. 3579468-3579467 3579469 00 4 5 + 59 5 5 6 ( ) 38. 3 5 + 5 7 + 4 7 + 5 6 6 + 6 + 7 9 + 9 00 00 ~ 00 39. 000 999999999 000000000 000 999-00 998 + 000-00 999 00 40. 5 + 35 + 63 + 99 + 43 + 95 00 00 43. 3 + 5 + 3 35 + 4 63 + 5 99 00 00 44. 9 3 + 39 3 3 4 + 49 4 37. - - - 00 99 00 3 + 6 +3 9 +4 +5 5 45. + 4 +3 6 +4 8 +5 0 00 ~ 00 46. 39 48 86 74 + 48 + 48 49 49 49

47. 3 ( + 5 9-3 ) ( 6 + 9 + ) 5-6 - 9 + 3 + 6 + 9 + +7 ( + 7 ) 3 - ( + 7 ) 3 54. 9 +9 ( + 9 ) 00 ~ 00 ( + 9 ) 3 ( + 7 48. 8 ) ( + 7 9) 3 5 + 5 7 + 7 9 + ( + 9 6 ) ( + 9 7) + 000 37 39 00 3 5 + 6 0 +3 9 5 +4 55. 3 + 4 6 +3 6 9 +4 49. 3 4 5 + 4 5 6 + 5 6 7 + 6 7 8 + 7 8 9 + 8 9 0 00 567 + 345 566 56. 50. 3 + 4 4 3 5 + 6 6 5 7 + 8 8 567 345 + 7 9 0 0 + 9 5. + 3 6 + 5 + 7 0 + 30 0 + 5 5 5 8 + 5 0 5 00 B 57. 00 5 3 3 000 + 00 + 98 98 98 99 + 3 4 58. 3 + 3 5 + 5 7 + 000 + 5. ( - 5 ) + ( - 35 ) + ( - 00 003 63 ) + 00 ( - 99 ) + - ( 43 ) + - ( 95 ) + - ( 55 ) + 59. 5 ( - 33 ) + - ( 399 ) + - 3 ( 483) 5 3 +7 3 4 7 4 +9 4 5 9 5 000 B 60. ( + 53. - + - 3 ) ( + 4 ) ( + ) 6 + + +3 + ( 0 0) ( - 3 ) ( - 5 ) - ( 9 ) - - + + +9 + + +0 000 7

8 6. + 6 + 3 + 4 0 + + 0 40 3 6. + 3 + 3 4 + + 9 0 + 0 = 37 + 37 C 63. 3 + 5 + 35 + 63 + 99 8. = 64. - 6 - - 0-30 - 4 = 4 7 7 9 5 9 65. ( 4 ) ( 3 + 6 + + 4 + 48 + 96 + 9 + 384 ) 8 = = 8 9. = 9 + 9 + 7 + 3 + 8 + 66. ( + 4 + 8 + 6) ( + 3 + + 997) ( + + + 996) - ( + + + ) 997 + 3 + + 996 = 46 + - 6 67. 5 + 3 5 8 + 5 8 + 7 4 + 9 4 7 + 7 0 68. 3-7 + 9 0-30 + 3 4-5 56 69. 99 99 + 99 993 + 99 993 + + + 3 + 4 + + 99 + 99 70. ( 53 35 + 579 357 + 753 975 ) ( 579 357 +753 975 + 35 53 ) - 53 ( 35 +579 357 +753 975 +35 53 ) 579 357 +753 975 994 7. = 38 + 37 38 + 37 + 38 = 75 68 69 38 + 37 + 37 38 4 7 9 4 7 5 9 = 46 + ( + 4 + 8 + 6 + 6) - 6 = 46 5 6 0. = + +4 +8 +6 +3 +64 + 8 + 64 + 3 + 6 + 8 + 4 + = + + +4 +8 +6 +3 +64 ( + 8 + 8 + 64 + 3 + 6 + 8 + 4 + ) - - 8

= 8 + - - = 7 7 8. = 65 7 + 9 8 ] [ ] = 3 7 +. = 38 38 + 38 39 9 [ 5 ( 39) [ ] = 38 38 + = 38 38 + 39 = 39 40 6 6 3. = 666666 666666 = = 3456543 4. = 68 8333 5909 934 3555 538 = 3 3 7 997 3 64 5 64 3 3 3 993 = 5 5 6 5. = 0 94 95. 65 + 7 0 = 0 + 94 95 95 = 0 95 + 94 95 95 = 994 3 993 997-95 3 4 + 8 + 7 6. = 4 + 8 + 7 = 9 994 + 993 995 7. 994 995-994 + 993 995 = 993 + 995-994 + 993 995 = 993 995 + 994 = = 4 8. = 05 + 4 + + 04 = 05-04 = 03 03 04 9. = 5 4 3 5 4 6 3 5 7 45 6 8 60 7 9 77 8 0 96 9 = 5 4 6 3 5 3 7 4 6 4 8 5 7 5 9 6 8 6 0 7 9 7 8 0 8 9 = 4 9 = 3 30. = + 9 + 7 + 5 + 3 + - + 9 + 7 + 5 + 3 + 36 = - 36 +9 +7 +5 +3 + = 5 36 36 = 5 3. = 8 - = 8 - ( + 4 + 8 + + 56) + 56 + 4 + + 56 + 56 9

0 3. = 8 - + 56 = 7 56 34 + 6656 + 4567 7890-6656 = 4568 7890-6656 7890 + 4567 7890-6656 = 4568 7890-6656 4568 7890-6656 = 4568 7890-6656 = 33. = 3 3 4 4 5 5 6 6 7 34. 7 8 8 9 9 0 = 3 4 6 7 8 9 = 3688 999 +5 999 +6 = 999 999 +5 999 +6 +999 +5 999 +6 = 999 + = 000 00 35. = 00-00 00 = 3003 00 = 3 36. 3579468 = 40. = 3579468-3579468 - 3579468 + 3-3579468 = 3579468-3579468 - = 3579468 37. = - ( + ) ( - ) ( + ) ( - ) 99 + 99 38. = - 0 3 = 4 98 00 3 99 0 00 = 99 = 000 089 ( 5 ) + ( 5-7 ) + ( 7 - ) + ( - 6) + ( 6 - ) = 39. 999999999 000000000 999 000000 = 000 000000 = 999 000 000 999-00 998 000-00 999 + - 9 + 9 000 998 +000-000 998 +998 = 000 - + - 00 999 000-998 = 000 + 000 - + - 00 999 = = 000 999 000 + = 00 ( 5 ) + ( 5 - [ 7 ) ( 5 ) ] + + 3 - = 3-5 = 5 4. n n + + + n -

= n = n - n n - = + + + 59 = 885 4. a = + 3 + + 8 = + a a + 9 - + a + 9 = a + a + 9 + 9 a - a - a - 9 a = 9 43. = + + 3 + 4 + 5 a ( 3 ) + ( 3 - [ 5 ) ( ) ] + 3 + 5 + 35 + 63 + 99 =5 + - + + 9 - = 5 + - = 5 5 44. = 30 - ( ) 3 + ( 40-3 ) 3 4 + ( 50-3 4 ) 4 5 4 + ( 60 - ) 5 5 6 = 0 + 30 + 40 + 50-3 + + 3 5 + 3 74 49 = 39 + 86 + 4 48 49 = 48 47. = ( 6 + 9 + ) ( 3 + 5 9 - + 3 3-5 9 ) - ( 6-9 + ) 3 ( 6-9 + ) 3 = 6 + 9 + 3 - = 6 + 9 + - 6 + 9-3 = 9 3 = 3 48. = [ ( 3-5 ) + 5-7 ( 39) ] + + 37 - = 3-39 = 39 49. n n + n + = n - n + + n + ( 5 ) + ( 4-5 + 6 ) + ( 5-6 + 7 ) + ( 6-7 + 8 ) + ( 7-8 + ) + ( 8-9 + ) = 3-4 + 9 0 = 37 9 0 3 45. = + + 3 + 4 + 5 + + 3 + 4 + 5 = 46. = 39 48 48 + 86 49 49 + 4 = 3-4 - 9 + 0 = 3 80 50. = - ( 3 ) + ( 8 3-8 5 ) + ( 8 ) + ( 3 ) 5-8 7 7-3 9

+ 50 9-50 = + 6 3 + 0 5 + 4 7 + 8 9-50 = 0-4 6 = 5 5 5. = + 3 + 5 + 7 + + 3 + 6 + + 0 + 30 + 4 ( =4 + - 3 + 3-4 + - 5 + 5-6 + 6-7 ) = 4 + - = 4 5 4 5. = 0-7 ( 3 5 + 5 7 + + 3) ( = 0-3 - 5 + 5 - + + - ) 3 = 0-3 - 3 = 9 59 69 53. = - ( - 6 + 6 - + - 0 + + 90 - ) 0 = - - ( 0) = - 54 55 = 55 8 9 0 36 54. = 3 9 4 7 0 36 = 3 7 0 36 = 3 7 = 55. = 3 5 + 3 + 3 3 + 4 3 + 5 3 3 + 3 + 3 3 + 4 3 + 5 3 = 3 5 3 = 56. 567 + 345 566 = = 567 345 + 567-345 = 567 345 + 57. = 00 5 + 00 3 3 + 98 [ ] 98 + 99 + 00 = 5005 + 3 + 99 00 + 00 = 538 58. = - 3 + 3-5 + ( - 7 + + 00-003) = - 003 = 00 003 59. = 50 + 5 5 ( 3 ) 3 5 + ( 70 + 7 4 ) 4 7 + ( 90 + 9 ) = 3 60. + 5 ( ) ( - 3 ) ( + ) ( - ) 4 5 5 9 = 3 3 = = 5 4 4 5 = ( + 8 ) ( - 9 ) = 9 8 8 9 =

= + 0 =. 6. = + + 3 + 4 + + 0 + + 6 + + + 40 = + 0 0 + + 3 + 3 4 + + 0 = 0 + - + - 3 + 3-4 + + 0 - = 0 + - = 0 0 6. = - ( ) + ( - 3 ) + ( 3-4 ) + + ( 9-0 ) + ( 0 - ) = - = 0 63. = 3 + 3 5 + 5 7 + 7 9 + 9 = ( - 3 ) + ( 3-5 ) + ( 5-7 ) + ( 7-9 ) + ( 9 - ) ( ) ( - 3 ) - ( 3-4 ) ( ) - ( ) = - 64. = - - 4-5 5-6 - 6-7 = - + 3-3 + 4-4 = 7 + 5-5 + 6-6 + 7 65. x = 3 + 6 + + 4 + 48 + 96 + 9 + 384 x = 3 + 3 + 6 + + 4 + 48 + 96 + 9 - x = 3-384 x = 85 8 = 85 8 = 85 8 66. a = + 3 + + 996 b - a = b = + + + 996 = a + 997 b - b + 997 a = a b + b - a b - a 997 997 = b - a 997 = 997 67. = 3 + 5 + 7 + 9 + 3 + 5 + 3 5 8 + + 3 7 0 3 =35 + [ ( - 5 ) + ( 5-8 ) ] + + 7-0 [ ] =35 + - 0 3 3 3

= 35 3 0 ( 5 ) - ( 5 + 6 ) - 68. = + 3-3 + 4 + 4 + + 6 + 7 7 + = + 3-3 - 4 + 4 + 5-5 - 6 + 6 + 7-7 - 8 = - 8 = 7 8 69. 99 99 +99 99 +99 993 +99 + = +99 99 0.5 99 99 +99 +99 993 +993 = +99 99 0. 5 8 99 99 +99 +993 99 + = +99 99 0.5 99 99 + 99 + 993 = + 99 99 0. 5 99 + 99 + 993 = 993 0. 5 = 5 987 993 70. a = 53 579 b = 35 357 + 753 975 c = 35 53 = a + b b + c - a + b + c b = a +b b + a +b c - a + b + c b = ab + b + ac + bc - ab - b - bc = ac = 53 35 35 53 = 4

3 74 5 3 5 9 9 99 00 00 9 00 9 0 76 3 9 7 9 9 73 3 0 3 7 0 3 3 3 4 5 9 - = 0 0. 0 75 00 7 0 00 99 99 3 5

= 8 8 8 9 n + k k n 77 5 6 4 4 5 > 4 0 0 ~ 50 78 0 4 7 47 49 0 5-6 = 45 45 + = 9 0 3 0 a a a 3 a 0 S = a S = a + a S 3 = a + a + 79 0 5 3 0 3 0 50 80 64 8 6 a 3 + S 0 = a + a + + a 0 0 45 0 9 0 4 S 3 S S 7 0 0 3 4 5 6 8 0 3 3 3 S 0 3 3 4 3 5 S S 8 3 6 S 8 - S = a 3 + a 4 + a 5 + a 6 + a 7 + a 8 3 + + 3 + 4 + 5 + 6 = 63 0 0 4

8 3 85 A B C D 4 3 4 3 4 3 4 3 4 3 8 40 4 4 D 3 4 40 40 3 = 3 40 + 4 4 4 4 4 4 4 83 4 86 8 8 0 3 AC BD 4 3 + + = 6 6 4 +6 =0 0 9 0 + =9 3 4 + = 3 8 84 60 4 8 4 3 4 5 7 8 8 8 8 4 + = 9 + = 3 7

8 m n + k k n m + 95. 0 96. 7 0 97. 54 3 87. 8 98. 5 308 4 6 6 88. 3 4 49 50 50 99. 994 6 6 993 0 89. 0. 35 6 6 90. 50 7 0. 49 5 9. 3 4 0 0 03. 000 00 00 99 993 498 9. 04. 94. 3 9 0 0 00. 3 05. 003 93. 7 06. 0 0

~ 9 8. 4 6 6 07. 0 3 08. 3 8 9. 8 3 7 4 0. 600 00 09. 994 4 5. 0. r 8 0 r 5. 35 44 9 9 4 00. ~ 00 00. 4 3 5 3. 00 B 3. 90 4. 4 6 6 5. 8 4. 54 ~ 3 4 4 6. 4 5 43 5. 3 99 00 7. 50 5 3 8 9

0 6. 3 4 994 36. 3 9 37. 36 5 7. 38. 6 43 8. 5 39. 4 7 97 00 0 0 4 a b c da 3 + b = c + d = 04 9. 3 30 5 30. 3 4 988 989 4 989 3. 87. 8 3. ~ 000 00 8 > 8 00 000 33. 50 5 6 49 50 5 6 34. 99 5 40. 3 3 ~ 9 990 88. 50 3 4 89. 6 35. 500 5 00 5 6 + = 7

90. 50 50 3 49 5 5 5 7 6 6 30 30 = 5 5 + 47 7 47 0 6 5 9. ~ 0 0 5 9 3 8 6 4 7 6 99. 993 6 0 993 0 9. 4 99 0 3 99993 5 993 993 994 93. 994 0 00. 3 3 3 3 94. ~ 0 3 3 3 4 3 5 4 6 5 7 6 8 7 9 8 0 9 0 3 0. 6 6 35 35 95. 0 6 3 + + 3 + + 6 = 36 3 96. 0 ~ 9 6 0 5 9 8 3 7 4 0. 6 7 49 0 49 50 7 6 0 97. 4 4 497 000 00 00 3 003 004 005 99 993 3 000 993 498 3 + + = 9 48 03. 000 993 98. 5 5 308 = 5 5 + 48 0 04. 6

540 34 = 45 0 46 7 05. 003 87 7. 4 86 7 7 87 + 86 + = 575 7 575 06. 4 4 ~ 36 33 36 36 33 = 994 5 5 n 994 7. 6 n 8 + = 5 n = 399 400 40 498 3 n = 399 n = 498 0. 8 8. 0 7 8 r 8 3 6 7 9. 7 r 5 3. 0 3 0 + = 7 07. 0 4. 5 5 4 = 0 0 0 6 6 0 5. 0 8 08. x x x 3 x 8 8 x 8 + 3 = + x + x 3 x + x 3 + x 4 x 8 + x + x x + x + x 3 + x + x 3 + x 4 6. 5 43 + x 3 + x 4 + x 5 + + x 8 + x + x = 08 08 4 9 8 + = 4 9 9 09. 994 4 4 3 7. 44 35 = 540 7 0 3 9 9 4 4 5 6 7 7 3 + 7 + + 8 8 = 34 540 7

7 3 0. 600 = 3 + + 3 5 + = + + 3 + 6 3 + = 4 9. ~ 30 6 5. 4 4 4 4 6 5 5 4 + = 5 5. 3 4 5 50 30. ~ 989 4 4 5 5 9 989 50 + = 5 4 3. 989-4 + = 498 = 3 9 9 3 49 49 30 49 4 = 996 5 8 89 4 3. 4. 4 6 6 + = 7 3 A 3 3 3 3 K 4 3 3 + + = 4 3. ~ 000 00 4 00 3 003 000 000 000 5. ~ 00 5 000 + = 00 0 80 000 0 80 + = 833. 3 5 3 6. 994 8 8 50-9 9 = + = 7 999 8 9 7. 34. 99 6 n + = 5 4 = 8 49 6 35. 5-5 8 + = 5 36. 3 8. 0 0 3

5 8 0 8 3 a 3 b a b 8 7 3 c d 4 37. 36 5 5 a b c da + b = c + d = 04 5 40. 9 5 5 ~ 45 4 3 3 38. 6 43 = 44 8 44 4 = 0 3 6 7 = 4 39. 04 4 00 7 97 0 94 49 55 0 + = 4

3 3 3 3-5 = 4 3-5 = 3 7 5 9 9735 4 ~ 4 43 A B C D E 0 A B C D E C 989 0 3 0 4 3 6 8 A B 6 A B 6 4 D E 0 C 4 9375 79538 539 44 8 8 6 + 3 + 4 5 + 6 7 + 8 + 3 + 5 + 4 + 8 998 A 994 3 4 5 6 3 4 5

6 8 4 B C 4 6 B C 5 6 D E 6 5 3 A F B C 4 5 A A B A B C F 47 4 0 4 4 4 45 999 4 8 8 7 6 5 5 + 4 = 9 6 0 4 + 4 = 8 48 46 A B C D E F A B A D 3 A E F 5 C D D 4 B C 5 C D 6 D E

A B D E 3 B C 4 C D 5 E A D A A 3 C 49 A B C 4 D E 5 D D A B 3 A A A 4 B 5 5 E D 4 C 3 B C D B C A C C A B C 3 4 5 6 5 B 5 A B C 6 3 4 B C A 50 A B C D E A B 5 3 4 5 996 6 7

a b c d a b c d 8 5 A D C D E 5 c 3 d 3 a 3 b 3 a 0 4 b 4 a 3 b 3 a A 4 B 3 4 b 4 c 3 d 3 4 4 C D E 4 6 4 54 3 A B C D 3 4 3 4 E 6 E - - 4 - - = 3 a b 3c 4d a b c d 3 4 a + b + 3c + 4d = 3 - + + 3 + 4 = a = 3 b = 4 c = d = 3 b = 4 = 8 3c = 3 = 3 4d = 4 = 8 a b 3c 4d C D A B 8 53 6 8 55. A B C C A B A 989 B C

56. 846 45 6048 4980 989 6. A B C D E 998 B 57. A B E 3 B 4 E 3 D E 58. 63. 4 3 59. 4 5 994 B 64. A 3 60. 3 4 3 65. 4 6. 4 4 9

30 66. A C B C E B D A C D E D E 998 67. 5 A B C D E F 7. A B C D A 8 5 B 75 C A B B C C D D E E A 7 D 60A 5 6 3 0 B C D 7. A B C 998 68. A B 3 A 4 B 5 3 4 73. 5 69. 3 4 5 6 7 8 8 74. A B C D C 8 75. 3 A 4 D 5 B 6 D A B C D 8 70. 997

76. A B C D E F G H 84. A F H 3 B C G 4 D B E A 3 3 F H G C H A 988 80. 88. 3 0 8. 89. 8. 3 4 5 5 4 3 83. 0 5 4 5 0 85. 77. 9 955 3 0 86. 78. 87. 3 79. 5 3 3 3

3 90. A B C D E F H I A B E G H 3 0 J 4 A B B 95. C D E 9. A B C D E A B D 96. B C D C 7 5 3 B E D C 4 E E D A 3 3 C C 9. 6 A B C 3 0 D E F 8 7 4 A E C A B F 3 A B 98. 6 F 4 B 3 C A D C B 0 E F 97. 00 93. 6 3 99. 4 5 3 3 94. 5 4 A B C D E A B D F G A C 00. 00

00 0. 3 07. 4 3 0 5 0. 3 08. 3 5 03. 9 3 4 5 6 8 4 04. 0 3 55. A A 9 B B 0 0. 5 C B 4. 5 3. 6 C B C 9 3 B A 56. 990 6 05. A B C D E F 5 846 4980 B D C E D F B C A 6 4 0 8 8640 57. 06. 4 33

34 4 65. < < < 58. 4 3 66. A B C A B 59. C D E 0 F E 7 9 67. A + B = B + C = 5A 0 9 C B + C = 5 C + D = 6D 7 5 60. 4 C D + E = 3 E + A = 0D A E + A= 0 A + B = B E D B AA C B E D C E D 6. 68. 5 45 3 6. A B E 3 B E D B E D A 69. 4 6 D C 63. D 6 C 4 5 C C 3 A 4 3 5 7 B C + D = 6 D + E = 3E 4 5 B 4 6 8 64. 3 D C D 3 8 B 3 5 A 7 70. C E C A C D B F

D B C F C B C D 76. H A D G H C D B E F G D A D B F A D G H D F D E D C G C D E F G C D E F C F E 77. 6 7. A 8 B 7 5 8 4 C 7 D 6 0 A + 3 + 4 + 5 = 4 3 + 4 8 B + 5 + 6 = 8 8 5 5 D 0 5 = 3 + + C 89 89 = 79 4 4 = 3 + 4 C 6 5 79 4 7. B 4 B 6 5 4 3 A 78. C B 73. 79. 74. 0 80. 6 - = 4 4 3 3 75. 3 8. 35

36 3 3 0 0 3 0 4 ~ 5 3 4 0 4 5 84. 3 4 3 5 3 4 5 3 5 4 3 4 4 90. 85. A B C D E 9 9 A 3 6 955 C 4 955 9 943 94 885 856 885 885 = 65 9 B A C D E 955-885 = 70 943 955 A B C D E 6 C D 94 D 5 C 4 D 955-94 = 4 5 B A C D E 86. E B A C E 87. 5 8. 3 5 3 5 88. 3 + + = 6 83. 0 3 4 6 5 4 3 0 0 3 ~ 30 89. B 0 3 3 7 D 0 3 5 E 0 0 7 A 9.

A B C D E A B C D E C D E C 9. A C E A J B I C A B F G D H E F 3 A B 95. F 4 B C A B C D E 3 F A B C D E F 96. 8 6 4 4 A F B E 4 4 C D 93. A B C D E F G H I J 4 4 4 3 3 306 306 4 = 8 4 + 3 = 5 97. 0 4 8 + 7 + 4 + = 0 8 = 3 + 3 + + 7 = 3 + 3 + 4 = 3 + + + + = 3 3 0 = 30 94. 30-3 = 7 7-0 = 7 98. a b c d e f a 3 a 37

38 a b a b c d e f a + + - - =3 b + + - - =4 c + + + - =5 d + + + - = 4 a a 4 a b c a + + + - =5 A + - + + = 4 b cc 4 A a a + + + - =6 + - + + = 4 A 03. 4 78 6 a b 5 99. c d 6 8e f g a + b =9 c + d = 3 4 7 9 0 9 7 7 0 3 4 04. 0 9 + 8 + 7 + 6 + 5 + 4 + 3 + + = 45 45 a b 4. 5a + 3. 6b + 9 = 455a + 4b = 40 b = 5 a = 4 9 00. 9 4 5 05. A B A B 00 D F D F F 00 - = 99 B A D A B C E 0. 4 5 C E A C E B C B 4 C B D E A B 4 C D E F 06. 3 0. 3

07. 6 4 5 x 5 3 9 - x 5 5 - x 5 9 - x 4 - x 08. 4 x = 0 5 4 39

7 0 8 5 7 9 0 0 5 0 + + 7 + 3 + + + + 7 + + = 5 09 0 3 4 5 6 7 7 36 9 9 5 0 5 0 36 8 4 5 6 8 7 456 465 546 6 5 3 4 4 3 5 564 645 654 456 465 6 7 0 8 0 8 9 384 385 80 394 396 405 406 584 585 9 9 3 584 9 9 =8 7 456 40 0 6 0 5 0 6 0 3 7 4 5 680 3 5 0 6 5 680 680 =

3 5 7 = 5 6 7 8 7 = + + 3 3 = 5 4 = 3 995 3 4 + 4 3 + 3 + 3 + 3 + 3 4 = 3 3 3 3 = 6 995 995 = 3 5 7 n 9 n = 3m 3 m 7 + 5 + 9 4 = 64 n = 3m + 3 m - n = 3m + 3 m 4 050 050 050 = 3 5 45 5 7 30 35 30 050 0 94 3 7 40 48 5 4 40 a b ab = 48 8 = 384 4 = + = 3 = + = 4 = + = 4 5 = + 3 3 = 6 6 = 3 + 3 3 3 = 9 8 = 3 + 3 + 3 3 = 8 6 9 a90 + a - 0a + 9 = 45 9a = 36 a = 4 8 40a + 40b 40a + 40b = 40 40 384b = 6a a = 8 b = 48 3840 80 4

0 0. 8 4 BC 4 B C B' C' BB' 3 C' C ABCD 3 4 BB' C' C ABCD BB' C' C 0 AB =. 0 + + = 6 6 BC 6 = 9 A B A A' BA' C AC AC C CB 3 0 4 9 3

4 9 - = 7 30. 6 7 7 A B 3. A B 3.. 0 3x + 3 0 3 y y 00 5y +4 { y >00 450 { z z 3. 48 z z z + 7 4. 84 5. 9 6. 00 33. 0 5 7. 0 0 5 77 5 8. 6 6 886 6 34. 0 9. 0 0 5 30 35. 5 43 x

44 36. 4 43. 000 00 44. a b c 00 00 a + b + c 37. a a a 60 00 00 00 00 45. 3 38. 999 7 000 46. 37 00 39. 99 47. 00 0000 00 40. 404 48. a b 00 a - b 90 a + b 49. 4 00 ~ 00 50. 0 4. a b c d a > 0 b > c > d 5. 4 3 0 8 4. 00 3 3 5. 30 8 9 85 79 74 53. 7 96 00 54. 43 a b a b a + b

55. 6 5 68. A B A OM ON B A 56. 0 3 5: 3 57. 8 58. 98 59. 7 3 995 60. 34567890 989900 00 6. 000 70.. 3. 7 6. 5. 9 4. 6 7 6. 8. 5 6 4 4 3 63. 3 993 994 4 64. 89 69. 65. 4 8 6 76 36 7. 66. 3 00 000 67. 44 00 00 0 7. 8 45

46 30 0 4 0 7 9 8 5 73. A A B B 7 4-3 = 38 A B A+ B AB 38 + = 77 3. + + = 48 4 = = = = 4 00 4 74. 4. + 84 = 85 85 5. 9 = 3 6 + 9 3 + 3 + 3 + 3 + 3 + + 4 4 3 5 = 97 6. 00 = 3 + 3 + + 00 3 + + 3 3 75. 7. abc def 7 a d 9 abc + def = 77 a = 8 d = 9 abc def bc ef e = 000 0 f = 4 c = 7 b = 6 76. 867 904 867 904 = 783768 3 n 5 0 8. A B C 6 n ABC + ACB + BAC + BCA 000 + CAB + CBA 77. m n k m n k m = A+ B + C 00 + A + B + C 0 + n - k 00 m + n - k + A+ B + C = A+ B + C = 886 78. 39 9. 7 5 799 66 A+ B + C = 886 = 3 6 4 999 30.. 8 4 8 4 = 3

3. A A' AA' A' B C C = 4 - a a - a CD A CD B - a + - a + a = 4 - a = a 3. y > 00 38. 450 = 5 7 6 y 00 4 7 6 4 z 5y + 4 494 = 5 = 68 494 98 + 4 y 98 = 3 3 + 39. = 47 z 5y + 4 479 = 5 99 + 95 + 4 y 95 = 3 3 + + 3 + + 98 = 485 479 + 7 = 48 48 40. 404-90 - 89-88 - 87 = 50 404-90 4 = 78. 5 33. 0 + 000 + 5000 = 77 78 79 80 6000 500 + 0 + 3750 = 450 77 000 + 000 + 500 = 4500 500 + 000 + 50 = 4750 000 + 3000 + 0 = 5000 a b + c + d 4. 500-8 - 9-85 - 79-74 34. 0 = 90 90 3 = 30 70 = 04 = 0 = + 3 + 36. a 4 - a 4 - a a a = 4 37. 00 60 = 8 00 = 7 3 00 4. 43. abc = 3 44. 00 = 3 4 35. a + b + c 38 45. 3 9 47

48 3 9 = 63 46. 37 = 7 + + 7 + 7 7 = 68 5 = 4 + 4 = 3 + 3 = 68 55. 5 + 5 4 3 47. 00 50 3 00 5 35 48 56. 4 48. b = 0 0 9 = 90 a = 99 a - b a + b 90 = 380 380 4 + = 6 99-99 + = 98 00 = 49 50 57. 3 49. a b = 8 cab - bc = 4a - c b = 4 30 8 a - c = b 4 = 57 c 58. 99 99 57 - = 56 = 980 50. 0 5 59. : = 7: 3 6 0 4 5 6 6 4 7-3 = 56 7 7 3 3 4 4 5 60. 6 + 7 + 8 + + 4 + 5 + 34567890 0 9 3 = 00 3 50 76 4 9 5. 4-3 - 0 55 60 4-8 = 0 785960 9999978596066 9900 34567890 9 5 0 3 484950 76 5. 30 4 0 55 60 30 4 = 0 5 340 0000034066 30 4-3 = 57 9900 53. 7 6. 000 7 96 7 = 8 00 8 9 7 4 34 5 6 3 8 54. 43a + b 989 996 990 997 99 b < 43 a + b b 998 99 999 993 000 4 43 + 4 = 998 994 995 a + b = + 4 = 64 00

7 6. 7. 5 9. 5 9. 5 8. 5 9 0 63. 8 4 4 994 8 4-3 = 8 994 8 = 49 3 8 4 4 70. 4 993 994 49 4 + = 998 4 64. 9999 9999-89 = 078 7. x + + 78 x x + 3 + + x = 78 + = 79 x x + = 65. 0 4 40 00a < 000 a x x + = 00a 8 44 36 7 76 < 000 x x + = 3 5 ax x + 0 x x + 5 36 49 50 > 000x < 49 x 36 x + 5 x = 5 x = 4 66. 4 + x = 4 4 5 = 300 + 3 + 4 = 67. x 7. 8 4 8 7 6 5 ( 0 + x a b c d 4 3 6 ) 56 - x - 0 56 = 0 + 3x 56 - x - 0 56 8 7 6 5 8 = 70 = 3x 6 - x 4 3 8 70 0 + 8 8 0 6 = 44 73. A+ B AB B + A A B A< B 7 68. A 6 + 7 A= 6 B = 7 M' N' B 6 7 = 3 4 69. 3 4 74. = ab = cd a b c d a b c d = 49

ba = dc ab cd = ba dc06 09 5 n ac = bd a b c d a 09 b c d 8 = 4 4 77. x x + = a + c 0 + b + d a + c = + 8 b + d = 4 + 4 x 3 4 5 6 7 8 9 0 3 08 75. x 0 04 08 6 3 64 8 56 4 48 96 9 A B C D 3 A + B + C + D = 7 A + 3 B + C + D = 9 A = 8 + D B C D 3 8 + D + 3D + 3 + 3 D 7D m = n = 3 k = m + n - k = + 3 - = 3 78. abcd a b c d + 7 9 9 d c b a b c 9 + 7 9 9 9 c b 5. A= 8 + D 3 a = 76. 0 a n 5 d + = d = 9 n = 05 3 05 5 c + 9 + = 0 + bb = c 0 n 09 bc9 bb9 999 50

5 9 0 997-5 = 3 5 9 0-3 5 = 3 0 3 0 3 = 40 40 79 0 8 5 40 5 = 00 6 00-6 = 5 5 8-6 8 = 0 80 5 0 + 6 = 6 6 8 3 5 5 4 7 8 5

5 7 ( - 5-4 - 8-8 ) 5 +7-5 - 4-8 - 8 40 3-0 = 6 8 3 4 390 83 00 =40 3 6 0 x 00 - x 3 x - 00 - x = 6 0 00-60 = 40 x = 60 60 40 3 4 5 + + 3 5 84 + 4 3 5 4 4 390 - + - + 3 - ( + 4) 390 - + - + 3 - + 4 = 800 800 6 5 6 = 6 5 5 = 5 5 - = 7 3 5

6 7 5-5 = 5 6 5 = 8 5 8 + 3 = 5 5% 0-5% = 7 7 0% 7-0% =. 5. 5-0 =. 5. 5 87 0% 0 30% % 0 0% = 85 % 0 0 % 4 7 3 = 4. 4 30% 4. 4 0-30% - % = 30 30 30% ( - 3 ) 0 % - 4 0-4 - = 48 3 + - 7 70 = 70 00 80% = 3 80-3 00 = 48% 40 48% = 9. 80-3 - 9. 00 = 8. 8% 40 8. 8% =. 5 80-3 - 9. -. 5 00 = 7. 8% 7. 8% 86 5% 0 0% 0 0% 88 00 80% 40 40 ( - 7 ) 48 + 48 00 80% = 80 40 0 53

89 0% 5% 0% + 0% = 08% 5% 600 0%. 5% - 08% = 60 5% 60 9 0% 84 0% x 5% 600 - x 0% x + 600 - x 5% = 600 5% 0% x + 600 5% - 5% x = 90 0% x + 30-5% x = 90 5% x = 90-30 5% x = 60 x = 400 600-400 = 00 9 000 0% 400 5% 00 5. 94% 5. 67% = 00% = 00% + = = 90 4. 53 0% 0% 5%. + 0% = 0% 0% 88% = 05. 6% 05. 6% - = 5. 6% 84 84 5. 6% =500 500 000 5. 94% = 37. 6 37. 6-0% = 90. 08 000 5. 67% - 0% + 000 + 5. 67% - 0% 5. 67% - 0% 85. 55 90. 08-85. 55 = 4. 53 54-0% + 5% = 5% -

93 00 499. 99 5% 500 500 5 96. 0% 6 3. 5 3 00 4 38. 4 5 8 97. 66000 3. 5 5% = 70 500-70 = 30 98. 0% 30 499. 99 x 70 0% + x 5% = 39. 4 x = 48 70-48 5 = 5 8 5 99. 3 4 9 = - 00% = + = + = 300. 6 6 8 8 94. 7 4 4 3 30. 700 0% 4 90 5% 995 30. 95. 9 60 60 5 4 3 0 55

56 303. 5 309. 5 3 3 3 4 5 30. 304. 5 7 3 4 5 3 3 4 305. 3. 3 4 48 4 6 8 0 999 75% 80 306. 300 40 4 3 3. 30 5% 9% 50% 6. 4% 6. 4% 995 307. 9 33. 40% 0% 30% 0 770 300 0% 5% 40% 50 997 34. 0% 308. 36 400 0% 600 4 9 9 9 3 36

00% 35. A B C 3. 40 % 0 A 5 0 B 0 4% % C A B C 6% % 0. 5% 00 3. 98 00 44 36. 6% 40% 3% 3 6% 998 998 37. 7% 0% 5% 58% 90% 6% 5 3 63. 5% 999 34. 38.. 5 500 0. 45% 0% % 39. A B 60 35. 5 A 5% 800 0% 8% B 9% 800 998 33 40% 33. 00 5% 90% 998 400 999 0% 30. 00% % 000 38% 36. 5. 40% 0. 98 840 % 30. % 7% % 999 00% = 57

58 37. 000 6 3 46 38. 7 00 00 334. 5% 90% 5. 5 9 00 3 5 998 39. 48 70% 0 6 335. 998 00 40% 330.. 80 998 3. 60 336. 5 6 4 3 998 4 90 33. 90 ~ 00 00 80 ~ 89 7 337. 0 4 70 ~ 79 5 3 70 6 00 998 33. 338. 4 400 0 90% 6 79% 84% 87% 0 00 339. A B 000 0% 333. B 00 30% 0% 0% 7 3 B A B

00 6 7 345. 0 340. 9 7 5 999 346. 303 5 5 3 3 4 4 95 000 000 347. 34. 000 6 7 3 97% 95% 5 4 00 00 ~ 00 34. 48 8 348. 5 6 000 5 343. 3. 6 480 00 7 349. 37 999 3 344. A B C A 00 ~ 00 B C A 4 5 B C 350. 50 0% 00 B C 30% 6 4 B 5 00 C B B A 35. 000 3 59

60 4 0 357. 5 8 0% 45 00 08 35. 5 7 3 4 3 5 358. 6 6 3 8 3 00 4 0 999 359. 400 353. 60 3 4 400 360 4 999 354. 3 6 4 0 30 0 0000 8 360. 3 5 450 6 355. 400 3 800 5 7 7 9 998 356. 3% % 36. 6 4 50% 64 4

3 3 4 36. 0 3 4 3 6 3 6 3 6 000 ~ 00 368. 3 3 5 363. 6 994 369. 7 3 8 50 5 50 7 996 364. 3. 6 370. 7 0% 0% 999 994 365. 3 37. 5 4 996 3 0 75% 0 366. 50 4 5 37. 5 3 3 3 367. 999 6 30

6 373. 4 0. 86 0 4 9 379. 40% 6 30% 4% 993 374. 380. 465 3 500 3 30 5 4 0 5 5 993 38. 40 375. 3 40 5 55% 35 65% 0 30 75% 5 85% 0 993 00% 376. 3 4 5 38. 4 6 % 500 5 500 000 0 377. 3 64. 4 000 5000 5 75% 4 5000 0000 0 5 0000 40000 5 38 378. 800 4 0. 6 4

680 387. 998 3 65 9. 5 998 30% 999 5% 000 5% 383. 000 0% 30% 388. 60% 30% 5% 0% 5% 0% 0% 997 389. 998 4 384. 5 4 5 3 8 0 300 0% 30 0 50 0% 75 40 50% 998 50 5% 385. 4 4 0 8 0 390. 0 0. % 0. 35% 8 0. 65 3000 6 6 3. 86 997 386. 80% 0% 75% 5% 39. 00 30% 0% 90% 994 7. 7 63

64 030 39. 5% 7% 5% % 5% 984 400 994 998 4500 393. 375 5%. 39 5 : 6 4000 / 3 030 0% 4 50% 5 4. 5. 7 90 0 0% 998 394. 030 5 398. 80% 50% 6 4 0 4 6 395. 8% 300. 5% 0 5 6 5% 5% 396. A B C 0 0 30 0 A 3 A 0 B B 0 C 0. 5% A 94. 90 + 4-4 - 3 - ( 4 ) = 00 5 397. = 40

40 95. 0-60 + 60-5 - = 0 0 = 400 400 3 96. 00 5 6 - = 00 4 = 400 400 [ ] 97. 66000 + 6 - - 5 = 66000 30 = 80000 = 8 8 98. 50 + + 3 + = 50 5 = 4 4 99. 4 4 9 - + - + 3 - + 4 = 9 3 60 = 40 40 300. 6 8 7 7 + 6-8 - 8 - = 70 7 4 = 40 40 30. 995 6 995-700 90% + 5% + 90% = 365 95% = 700 700 + 700 = 400 65

80 400 + 700 = 00 00 770 - x 30. = 50 = 50 3 3 + - + 9 50 303. = 0 5 = 8 + 3-5 5 8 304. 3 4 9-5 = 3 36 = 08 307. x 9 x + 770 - x = 50 0 9 90 x = 7 x = 570 770-570 = 00 570 00 308. 36-4 9 = 0 0 9-36 = ( - 9 9) - 36 309. 5-3 4-3 - 5 08 5 = 45 = 5 4 3 3 5 66 08-45 = 63 45 50 63 30. 305. x 3 - = 4 3 ( 4 x 4-4) x - 48 8 = ( 3 4 + ( - ) = 5 3 4 x - 4 ) + 48 5 + ( - ) =3 5 8 x = 90 3 + = 33 x = 44 33 3. 300 + 80-75% = 50 44-44 3 4-4 = 60 60 [ ] 306. 40 50% 50% - - 4 - = 40 40 + 40 = 80 3 = 50 50 + 36 + 6 4-0 - 3 0 = 800 800 3. 30 6. 4% - 5% 9% - 6. 4%

+ 30 = 70 + 30 = 00 6. 4% 00 33. 40% 0% 30% 30. x% 300 300 30% - 300 0% 40% - 0% = 00 40% 00 34. 6. 5% 3. x 400 0% + 600 0% 400 + 600 = 4% 600 4% - 0% 0% - 0% = 40 0 40 3. x 35. A 0 % 6% - 0 = 0 B 0 6% % - 0 = 0 C 0 % 0. 5% - 0 = 30 C 30 36. 3 40% - 3 3% 40% - 6% = 04 6% 04 37. 6% - 58% 7% - 6% = 5 63. 5% - 58% 7% - 63. 5% = 3 5 5 3 5-3 - 5 - - 5 30 5 = = 30 35. 400 0% + 800 5% 400 30 = 30% 38. 500 0. 45% - 0% 30% + 500 = 534. = 40 60-40 = 0 A 40 B 0 38% 40% + x% - 40% = 30. % x = 5 00 + 5 % 00 + 00 % = 6. 5% 40 - x 4% x + 40 - x % = 5 x = 0 98 x + 44. = 33 x + 40% x x = 49 49 33. x 00 - x [ + 0% x + + 5% 00 - x ] 90% - 00 = 3 0. 05x = 590-530 x = 00 00 34. +. 5 =. 5 5% 90% - 00% =. 5% [. 5%. 5 5% - ] = 5% 5% 36. 5000 0. 98 + 840 + 7% [ 500 - % ] 534. =. 39. 60 9% - 5 9% - 8%. 67

68 37. = 800 3 46-000 000 3 = 7. % = 00 00 7. % 338. 90% 335. 7 5% 90% 7 5% 90% - 7 00. 5-7 998 + x = 998 - x + 40% 334. 00 3 5-3 - 5 9-5 3 5-3 x = 998 x 5% 00 = 800 0. 5 x = 333 = 450 333 450 336. 90 - + - + 3 - ( + 4) 39. x x +48 x + 48 70% 0-0x = 48-6 = 90 3 60 x = 4 = 400 4 + 48 = 7 400 7 6 330. x 337. 0 ( + 6-0 4) 3. 60 5 x -. 80x = 4 6 = 0 7 x = 0 = 840 0 840 33. 7 5 3 338. x y 05 0 35 0 0 ( - 7-5 - y + 0 3 ) x + y - 6 = 68 4 ( - 4 ) x = 0x 70 68 4 y + 5 + 3 4 y - 39 = 0 33. y = 37 90% + 79% + 84% + 87% - 00% 3 37 = 40% 339. : = : + 0% = 5: 6 40% 6: 5 333. 6 7 3 6 6-5 6 = 6 4 0% : = : + 30% = 0: 3 90% 8 0% 4 = 0. 99 8. 4 3: 0 3 3-0 3 = 4 3 3 00 6-4 3 6 = 360 A B 360

340. ( 5 + 3-4 ) 5 = 00 00 34. 000-000 - 97% - 95% = 000-600 = 400 400 34. 48-8 - = 50-48 = 5-48 343. x x - 3. 6 x - = x - 3. 6-7 x =. 8. 8 37-5 - 5 = 7 344. A C 7. 5 A 5. 5 = 7. 5. 5-0. 5 = 00-7 80 [ ] 345. 0 + 0 + 6 7 = 0 40 7 8 7 = 00 00 =80-9 7 ( 4) 346. 95 4-303 5 3 4-4 = 77 7 3 = 43 43 347. 3 6 7 5 4 - = 5 - = 348. 480-5 = 600 480-600 5 = 360 360 ( - 6 ) = 43 600-43 6 = 58-43 = 96 96 349. 37 - + 3 + = 5 350. 50 [ +30% - 6 ] 30% - 0% = 3 0% C + 7. 5 -. 5 = 7 = 30 30 B C 0. 5 35. B 5 0. 5 =. 5 C 0 8-0 = 0 8-0 - 8 = 6 8 4 8-4 = 4 0-4 - 8 = 4 6 3 6-3 = 4 4-4 - 6 = 6 4 4 6 4 35. 4 + 6 + 8 3 = 6 69

70 0 = 3 400 360 + 4 ( 5 + 7-6 ) 3 5 + 7-70 353. x 6 = 70 x - 3 + x - 4 + x = 60 x - 7 + x = 60 9 354. 4 3 x = 9 = 4 3 48 7 3 6 = 6 6 ( 3-3 6 ) 3 6 355. 800-800 [ - + 7 7 ] = 800-600 = 00 00 356. x x + 64 3% + % x = 64 x = 5. 6 5. 6 357. 45 4 5 30 4 + 5 5 = 45 3 ( + 6 7 ) ( - ) = 3 3 8 08 30-0% = 567 3 8 3 358. 00 5 6-4 = 400 400 359. 400 400-360 = 0 0000-400 0 400 + 8 = 4 74 09 [ ] - 48 =. 5 4 74 09 >. 5 ( +) 360. 450-450 3 5 6 + 3 5 9 3 3 = 450-300 = 50 50 36. 4 + 4 50% - 6-6 50% - = 60 3 = 80 80 36. [ 0 ( - 3 ) + 6 ] - { ( 3 ) + 6} ( - 3 ) = 8 9 + 6 3 = 8 7 = 3 7 45 363. x 567 50 + 7 x = 50 + x 5 6 x = 680 680 + 680 7 = 60 60 364. 3. 6-7 + 4

=. 8. 8 ( - ) 365. 0-997 - 996 = 0 997 = 9970 9970 4 366. 50 + 5 = 60 [ + ] + 5 60 367. 30 - [ ] 3 + 4 7-30 = 4 = 7 4-3 = 4 3 3 4 3 4 369. 50 5 ( 5 + 7-3 8 ) 5 = 00 00-5 + 7 = 700 376. 700 6-370. [ + 0% ] [ - 0% ] [ = 5 6 0 9 = 75% = 6 75% 5 37. 0-5 - 3 - ( 5 + = 30 [ 3 ) 75% ] 30 = 0 5 = 50 50 37. x y x + 3 y = 3 3 x + y = 6 3x + y = 78 x + 3y = 7 3 4 x = 8 y = 8 4 [ ] 373. 86-6 4 9 + - 9 = 70 4 9 = 45 86-45 = 4 45 4 3 368. 3 = 374. 500-30 +5-5 3 = 85 85-85 - 3 ( 5 ) 3 5 [ +] + 30 = 360-5 = 35 85 360 35 375. 0 5-3 = 50 50 ( ) ] - 5 377. - 3-64.4 { 38 [ 64.4-64.4 +75% ] } = 64. 4 5 4 7

7 = 644 644 378. 0. 6 + 0. [ 0-4 4 ] = 0. 6 + 7. 8 = 8. 4 8. 4 379. 40% [ 30% + - 4% ] +40% x = 5 465-5 - 5 = 5 5 38. 40 55% = 35 65% =. 75 30 75% =. 5 5 85% =. 75 0% 000 900 600 / / 00 90 60 / / 30 79 / / / 66 = 50% 30 66 50% 384. 30 380. x 465 - x 30 - ( 30 + 4 5 ) = 4 4 5 x - 465 - x 3 = 0 8 4 8 - ( 8 5-3 8 ) = 6 6 385. x 4 + x - 4 0 = 8 + [ x - 8-4 - x - 4 0 ] 0 0 00% = 0 35 65% =. 75 x = 34 34 [ 4 + 34-4 0 ] = 9 35 9 386. 38. 500 5% + 680-800 - 500 75% [ + 5% ] [ 80% + 0% ] = 63 = 3 5 3 500 5% + 000-500 0% + 5000 = 90% - 000 5% 90% = 65 387. 9. 5 + 30% + 5% 65-65 0% + 5000 + 800 + 0% = 8500 = 0 63 0 8500 388. 30% 0% 0% - 383. = 7. 6% - - 5% - 5% - 0% = 4. 65% 4. 7%

7. 6% 50 4. 7% 395. x 389. 0-0 + 0% = 0 0 5 50 4 0 + x = 5 300 + x 0 300 + 0 50 + 5 40 + 50 0 300 + 0 50 + 75 40 + 50 = 5. 6% 5. 6% 390. 3. 86 3000-0. 35% - 0. 5% 397.. 39-0. 65 3000 + 0. 35% + 0. 5% 0. 69 = 449. 98-34. 7 030 4000 0. 69. 7 = 978. 8 = 469 978. 8 39. 00 + 7. 7 90% - 00 4500-4000 0. 69. = 088 = 53 00 30% - 53 30% - 0% = 70 00-70 = 30 30 70 39. - 5% + 30% =. 05 + 5% =. 5. 05 <. 5 300 8% 300 + x = 0. 5% 0 + x x = 80 80 396. 0 + 0 40 0. 5% 0 = 0. 6 0 + 0 0. 6 0 0 = % A % 469 + 088 = 6780. 7. 3 = 6. 9 400 400 6. 9 = 6760 6780 > 6760030 398. x 6y 5y - 5% = 3 4 + 5% = 4 393. 6 4.5-0% 5 +6 +4.5-6 ( 50% 5 +6 ) 5 x - 4 5y + 6 + 4 x - 6 5 +6 + 4 5y 3 4 5 4 5y = 6 55 5 = x - 6 + 6 + 4 x - 4 = 6y 3 = 4% 4 6y 5 4 3 4 6y 4% y = 6 394. x x = 46 80% x - ( + 5 ) x 50% = 0 46 = 9 9 x = 50 73

74 6 + 9 + 5 = 5 5 3 5 5 3 40 = = = 0-9 9-399 00 = 4 50 0 50 ( - 0 ) ( 9 - ) 00 = 00 50 = 50 8 48 [ - 00 + 50 50 ] 50 = 5 5 400 6 9 5 5 6 + 9 + 5 [ ] 9 0 0 = 6 0-6 = 4 4 40 63 4 48 48 48 63 63-48 = 5 48-8 = 0 5 0 0: 5 = 4: 3 48 6 9 4 4 + 3 = 84

48 3 4 + 3 = - 4 84 = 56 56 403 0. 5 30 4 -. 5 =. 5 60 3 4 -. 5 = 0 40-3 ( 0 + 40 = 7 40 30 ) = 7 40 30 = 3 4 60 60 ( 0-30 ) =300 4-3 4 = 4 60 [ ( 0-30) ] = 300 4 300 404 3 8 35 5 5 ( - 3 ) 8-3 = 30 ( - ) 30 = 0 0 405 0 30. 5 4 406 30 40 x 35 - x + = 3 8 5 3 30 x + 35 - x = 40 5 8-3 = 5 x = 5 = 35-5 = 0 5 0 75

407 6 5 = 38 5 7 60 = 9 30 < 3 5 8 3 4 [ - ( 6 + 7 5 60 ) ] 3 = 3 4 9 4 7 4 5 + 3 4 = 0 3 4 76 6 5 = 0 3 4 90 5 = 409 60 7 8 3 A 8 B 4 60 7 8 3 4 = 0 C 45 A B 4 90 9 4 = B C 5 5 7 = 9 45 xa 9 408 8 + x B 0 + x A B 3 5 4 + x 8 + x + 0 + x = 4 + x 4 6 x = 4 - ( 8 + 0) 6 x = 40 B C ( 0 + + 40 ) = 4 4 5 4 4 5 3-40 4 + 5-6 = 7 60 50 80 5 6 3 3 4 6 + 7 60 4 5 6 7 7

50 5 + 6 80 6 = 5 5 = 5 44. 7 5 3 6 8 7 5 - = 04 7 4 + 6 = 04 3 04 5 6 4 6 997 45. 0 5 8 46. 9 6 47. 5 5% 48. 0 4. 60 30 49. 4 0 30 4 6 40. 6 4. 0 37 30 7 5 9 4. 8 5 0 6 6 43. 4. 8 0 8 3 0 77

78 43. 0 50 43. 0 5 0% 0% 8 4 44. 9 8 3 996 43. 45. 0 30 4 0 5 46. 5 0 993 4 433. 0 8 47. 0 5 0 3 5 48. 00 4 434. 6 0 5 6 999 49. 8 435. 5 5 800 3 3 4 500 40 6 7 600 430. 8 998

436. 30 0 3 8 3 444. 50 0% 437. 0 4 6 5 35% 7 4 5 445. 9 438. 60 3 0 3 446. 75 50 439. 8 5 0 5 3 447. 440. 5 6 5 0. 5 44. 5 3 3 6 000 997 448. 36 44. 45 0 4 30 3 0% 5 50 8 443. 5 3 3 449. 00 79

80 0 5 456. A B 6 7: 5 3 A B 990 5% 450. 30 A B 6 4 457. 5 3 45. 5 4 3 4 80 458. 90 45. 75 5 00 7 8 00 453. 459. 80 8 00 00 4 80 454.. 5 86. 5 9 4 00 460. 0 30 455. 5 8 4 6 00 990 46. 3 3. 5

4 7 85 8 468. 300 46. A B B A 4 0 A 0 4 30 A B A 463. 8 4. 3 4 + 0 = 60 5 60 4 = 5 60 4 464. 5 9 4. 3 5 9 5 30 5 9 37 = 998 00 ~ 00 998 465. 8 43. 6 - [ ( 8 - ) ] = 0 0 0 3 0 0 8 3 44. 4 [ ( - ) ] 3 5 8 5 = 6 00 6 466. 3 45. 8 - ( - 8 0 ) ( 5-0) = 997 46. 467. 5 ( - 9 ) 9 + ( 6 ) 8

8 = 4 5 4 5 47. - 5% + 5 = 5 5 48. 0 + 30-60 = 5 5 49. - 6 4 4 + 30 = 0 0 40. - 7 0 6-0 4. 5 4. [ 6] = 4 8 5 + 0 6 4 { [ ] } 4. 8 - - 8 0-3 3 = 43. 50 - = 375 375 44. [ ] + 0 4 8 + 9 3 ( ) [ ] = 9 = 4. 5 430. 4 + - 9 45. - 4 0 0-30 [ ] 46. 5 + 0 - - 4 0 5 = 3 3 47. ( + 0 + 5 ) = 6 6 3 0 + 5 + 0 48. 4 + 6 + = 49. 8-40 6 4 5 5 5 = 6 4 5 [ ] 8 8 - + 40 = 480 480 [ ] + 8 = 4 3 7 4 7 4 3 43. x 8 - x [ ] 0-0% + - 0% x + 5 0 8 - x = x = 5 5 43. 0 60 + 5-60 = 9 = 48 48 433. 8 + 0-5 9 40 [ ] 434. - + 0 = 5 = 40 6 6

[ ] 5 + 5 = 8 8 3 [ ] 435. 5 + 6 7-3 4 5 = 4 6 7-4 = 6-4 = 0 4 6 0 440. ( 800 5 + 600 6 7-500 3 3 4 ) = 455 455 4 = 80 = 3 3 4 ( 800 3-455 5 ) 3 6 = 770 4 770 44. 6 436. x 3 x 30 x + 0 3 x = x = 5 5 3 = 0 ( 0 + 30 ) + 8 = 0 0-5 = 5 0-0 = 0 5 0 437. ( - 6-4 - 5 ) ( 0 6 + 4 5 + 5 ) = 5 6 5 6 438. - 60-3 0-3 = 3 ( ) [ ] 60 + 3 0 + 3 3 439. - [ ] 5 + 0-5 = 4 5-5 4 [ - 5 - - 5 ] + - 6] 5 [ 5 5 5 6 = 7 + 4 = 8 + 4 = 9 + 8 = 0 + 5 = 0 5 0 = 0 0 44. - [ ] = 4 + 30 0 443. 3 5 + + 3 = 90 90 3 = 30 90 = 45 + 30 3 + 45 3 = 7 6 ( 5) 7 6 83

444. 50 : + 0% = 5 : 6 6 : 5 0 50 4 6-5 6 = 4 : + 35% = 0: 7 7: 0 7 7-0 7 = 7 50 7-4 7 = 350 350 [ ] 445. 9 + 9 - - 9 = 7 5 7 5 446. 50-75 = 800 800 75 + 36 + 8 = 44 800 3 = 36 36 + 44 = 5 0-00 0 = 0 450. - 8 6 = 30 90 30-90 = 45 4 45-90 = 360 360 + 6 = 4 45 4 45. ( 3-5 ) 3 + [ ] - 3-5 5 = 3. 75 3 = 9 0 3 3 = 6 5 9 0 6 + + 9 0 = 7 9 0 84 3 5 7 9 0 447. : = 3 : 4 45. 5 : = : 3 ( + 3 4 + ) = 5 7 9 8 6 448. 3 5 [ ( 36 + 45 ) + 0% ] = 0 3 ( - 5 ) 8-0 = 0 50 ( 36 + [ 45 ) + 0% - 0] = 5000 5000 449. [ 00 0 +00 5 6-00 0 ] 6 - = 0 5 7 9 8-8 - 6 = 4 8 4 [ ] 453. - 8 4-8 = 8 8 454. [. 5 + 4 9 +. 5 ] = 9 9 455. 6 3 ( ) [ ] - 5-4 = 0 0 456.

[ ] 3 7 5-5 7 +5 7 7 +5 +5% 3 = 49 5-3 = 4 5 4 5 B ( 3 ) 4 457. 80 3 80-5 = 5 [ ] [ ] = 90 80-3 - 3 4 = 85 4 5 + 90-85 = 57 5-57 5 + 4 = 855 57 5 + + 4 = 67 90-57 + 4 = 798 855 67 798 458. 90 6 + 5 75 = 7. 5 7 7 7 + 3 = 5 9 9 459. x 00 80 x + 80 - x = 86. 5 80 00-80 x = 6 6 = 67. 5 6 6 460. [ 8 - ( 0 + 30) ] ( 0 + 30 ) 8 = 36 0-36 = 45 45 46. 85 3 + 3. 5 + 4 =00 00 3 = 700 00 3. 5 = 600 00 4 = 55 700 600 55 46. + + 4 = 8 0 + 4 + 30 + 4-8 4 30 = 5 5 463. 4 + ( - 8 4 3 ) [ 8 3 ] + 5 = 4 + 9 6 = 3 6 3 6 464. 3 3 + - 3 + 5 = 8 8 465. 8 = 36 ( 8 ) 36 + 3-36 = 3 3 3 + 3 = 466. 3 3 + + 3 = 6 6 85

467. = 68 3 5: 7 7: 5 4 7: 5 68 3 4 7 8 7 + 5-5 ( 7 + 5 ) 80 + 33 3 4 + 4 = 6 = 4 0 337 6 468. 4 0 300 - ( 0 + 0 + 40 + 80 + 5 + 337 + 33 3 4 ) 470 5 8 ( + ): = 6: 5 5 : ( + ) = 8: 9 8 = 6 8 : 5 = 7: 0 9 7: 0 86 47 469 : 5 6: 5 : 3 5 : 9 0: 3 : 5 + 5 : 3 : = 0: 3 = 30: 9 + 3 : = 5: 9 : = 6: 5 = 56: 30 ( + 3 + + 5 ) : : : = 56: 30: 5: 9 = 5 56-5 56 = 4 56 56: 30: 5: 9 5 56 : 4 = 5: 4 56 5: 4

47 3 4 6 7 450 3 4 5 3 7 ( - 3 4 = 4 ) S : S = 3 : : = : ( 4 5 ) : ( 3 7 ) : 6 = 3: 4 7 = : 5: 4-6 7 = 7 S : S = 6 697 + 5 + 4 = 04 7 5 : 697 + 5 + 4 = 55 = 6: 7 4 697 S : S : S = 6: 3: + 5 + 4 = 38 450 6-3 = 50 8 500000 = 0000000 0000000 8000000 =. 5. 5 474 697 5 3 7 04 55 38 50 475 473 : 500000 : : 3 8 4: 5: 6 : 8000000 3 50 50 + + 3 = 8 3 8 3 3 = 7 9 8 3 5 4 = 3 7 36 8 3 6 4 = 4 6 87

7 9 + 3 7 36 + 4 6 = 0 5 0 5 477 400 800 7 7 997 = ( + 7 ) ( - 7 ) ( + 7 ) : ( - ) = 4: 3 7 476 4: 0 x 7: 5 800 800 - x = 4 3 x = 00 998 00 x 4x 4x - 0 x + 0 = 7 5 x = 9 3 3 x + 4x = 9 3 3 + 9 3 3 4 = 46 3 46 3 478 0. 8 4. 8. 3 x y 0. 8x + 4. 8y = x + y. 3 x. 3-0. 8 = y 4. 8 -. 3 x: y = 4. 8 -. 3 :. 3-0. 8 = 5: 3 5: 3 88

479 48. 3. 5 5 999 0 30 00 36 6 48. 45 36 = 0 6 = 30 4 = 5 45 + 0 + 30 + 5 + 36 + 6 + 4 + = 98 98 483. 3. 06 480 ABC CD AB AE BC CD = 5 AE = 6 AB + BC = 46. 5 ABC 998 484. 4: 3 6: 5 5 ABC 6 AE: CD = 6: 5 BC: AB = 5: 6 BC 5 46. 5 5 + 6 =. 5 ABC. 5 6 = 80 ABC 80 5 999 0.. 0 00 998 3 485. 5 486. 6 5 9 4 89

90 : 0 6960 00 494. 00 6 9 487. 3: 4: 5 496. 7 00 3 9 00 497. 3 488. 4 3 7 5. 440 7 00 00 489. 498. 4 3: 4 0 50 490. : : 70 4 49. 4 3 3 00 499. 3 8 3 3 5: 3 : 998 000 500. 5 49. 7: 5 650 9 3: 4 495. 60 4 : : 3 70 493. 6: 5 50. 78

75. 5 8 DC F FBC FDE 9 AD = 5 DE = 50. 5 7 50. A B A 506. ABC AD = BD = 3 BDEF ABE ABC 0 DBEF 9 : 5 00 8: 9: 3: 5: 4 50 5. 3: ABCD 30 3 E AD EB 08 9 507. 00 508. 60 503. 30: 9: 8: 7: 6: 5 7 76 74 37 78 93 76 84 0: 9 00 504. 5 509. 6 : 5 994 505. ABC DC: BC = : 5 BO: OE = 4AE EC B 6 B A A B 5 A B 998 5. 999

9 59. 53. 00 50. 00 8 0 5: 4 5 54. A B 5. 80 : 3: 5: 7 3 5. B 3 998 55. 53. 3: 5% 4 80 3 0 54. : : 3 998 3 56. 3 4 55. 5 5 : 7 3. 5 9 0 0 5 57. 56. 5: 4 5: 7 3: 4 3: 5 58. 57. 6 4 7 8 44 4 3 0 3 84 30 84 6: 7: 8 3650 3 : 3 8

58. 5 a: b = : : 45 : 5 59. 00 00 534. AD = 5 CF = 6 60 48 BDEF 00 : 530. 535. ABC BD: DC = : 3 0% 6 3 DCE ABC 7 998 DE = 6 AE = 53. 000 3: 4 5: 9 3 3 6 536. ABCD 000 AB BC 53. 3 0: 7: 998 6 6: 8: 9 5: 4: 4 0: 5: 7 0 5 537. ABCD P Q AB AD PQRS 00 998 533. ABCD 93

94 x: y = 7: 4 7: 4 484. 4 4 + 3 3 ( 4 + 3 [ ) ]: [ ] 6 6 + 5 5 6 + 5 538. = 4: 45 4: 45 4 485. 5 3 5-3 [ ] 5 9 5 3 6-5 [ ] 6 3 5-3 5 [ ]: 5 6-5 [ ] = 3: 0 6 3: 0 486. 5 : 6 = 6: 5 = 4: 0 9 : 4 = 4: 9 = 0: 45 4: 0: 45 48. x 4: 0: 45 y 487. 00 4 4-3 3 = 8 ( - 3. 5) x = ( - 5 ) y 5 5 8 x: y = 7: 5 7: 5 7 488. 4 ( - 48. 3 ) : 3-7 = 5: 3-5 = 0 7 5 5 + = 5 5 : 0 = 5: 489. 4 ( 3 3 + 4 ) ( 4 4 3 + 4 ) = 4 5: 483. x y 4 0 = 4. 8 4. 8 3. 06x + 0. y = x + y. 0 490. : = : : = :

: : = 4: : 4 70 4 + + = 40 4 496. 70 4 + + = 0 : 3 : = 9: 6: 9 9 7 70 4 + + = 0 9 + 6 + = 9 6 7 40 0 0 = 8000 9 + 6 + = 6 8000 49. 3 7 3 = 9 + 6 + = 9 6 3 3 = 497. : =. : = 6: 5 : = : 5 = 6: 5 4 4: : 4 + + = 4 : = 5: 5 = : 3 7 4 + + = 7 4 7 7 64 0 660 44 7 49. 650 7 + 5-3 ( 3 + 4 ) 7 64 44 = 6 7 + 5 6 = 450 450 493. 6 : 0 5 = 66: 50 66 6960 66 + 50 = 3960 50 6960 66 + 50 = 3000 3960 3000 494. 6 : 9 = 3: 00 3 3 + = 60 00 3 + = 40 60 40 495. 60 + + 3 + 4 = 4 60 + + 3 + 4 = 4 3 60 + + 3-4 = 4 440 3 - = 0 0. = 64 0 3 = 660 498. 7: 5 5: 7 4 7 5 + 7-4 5 5 + 7 = 3 3 499. x 3 - x 8 - x = 5 3 8-6 = x = 6 500. x + x + 5 : x = : 9 - + x = 480 480 50. x y 95

96 75. 5x + 8y = x + y 78 x: y = 6: 5 6: 5 50. a = BD: AB = 3: + 3 = 3: 5 DBEF a + a - = 7 = ABE 5 a = 6 6 + 5 = 5 = 0 3 5 5 = 6 503. DBEF 6 x x + 30 + 9 : 8 + 7 + 6 = 0: 9 x = 3 3 37 3 + 30 + 9 + 8 + 7 + 6 = 05 05 504. 5 4 : 5 30 = 5 AE 6 3 5 AE = 7 x 8 + = 9 x: 6 - = 4: 5 x = 8 9 = : 5 505. OC ABC DC = 5 BC = 6: 5 : ADC ABC 5 OE = 5 BE AOC ABC AOC 5 DOC ADC AOC AOC 3 5 3 AOC AOE COE 5 AE: EC = 3 : = 3: 5 5 506. D E BE: BC 3 = ABC 5 507. FBC FDE 9 ABCD AEB 9 AEB = 30-9 = ABCD ABC = AD AE DE = AE - AD = 7-5 = DE 508. : = 78-76 : 76-7 = 76-74 : 74-7 = : 3 = 6: 9 : = 93-84 : 84-76 = 9: 8 BEC BO: OE = 4 COE 6: 9: 5: 8 BOC 4 BOC DOC 4 5 5 3 60 6 + 9 + 5 + 8 = 38 5 38 509. : 5 = 4: 0 4 0 4 6 6 4

4 4-0 4 - = 3 : 9 3: 3: : = : + 5% = 4: 5 50. + 5 - ( + 6 ) = 4 5: 4 A B 4 5. 9 50 [ 9 + 5-8 ( 9 + 8 + 3 3 + 9-9 + 8 + 5 5 + 4) - 5 9 + 5-8 ( 9 + 8 + 3 + - 9 = 50 4 - = 400 8 + 9 + 4 5 + 4) ] [ ] 7 400 5. 3: : 3 3 : 3 = : 08 = 54 = 80 800 5 + 8-5 5 + + 8 = 05 54. 05 3 3 58. 5 3 - = 30 5 7 + 8 = 960 960 - = 9 59. 6: 7: 8 6 : 7 : = 8: 4: 8 9 55. 4 5-4 5 = 0 : + 3 = 3: 4 4: 3 0 4-3 4 = 40 80 0-40 0 = 0 0 56. 3 + 3 = 4. 5. 5 + 4 = 6. 5 54 + 54 3 = 45 6. 5 - = 5. 5 45 0 5. 5 = 55 53. x 0 4 = 40 8: x = : 00 55 40 x = 3600 ( 3600 00 5 4 5 + 4 ) ( 3600 00 57. 5: 4 = 5: 5 + 4) 3: = : 8 5: : 8 8 3650 8 + 4 + = 400 97

98 4 3650 8 + 4 + = 00 3650 8 + 4 + = 050 400 00 050 50. 0 x 00-0 : 00-5 = 0: x 5 5 9 : x = 9 4 9 5-9 4 9 = 5 5 9 3 + : 3 - = 4: = 0. 5 = 6 6 3 [ ] 54. + + 3 + + 3 4 + + 3 = 3 5 6 3 5 6 55. 5-9 0 + 9 0 = 95 95 5 = 38 95-95 - ( 5 ) 5 5 5 + 7 = 3 3 4 7 5 + 7 = 33 4 38 5. 3 - = 80 80 = 3 3 60 4 33 4 3 56. 4-5 [ 7 ] 60 + 3 + 5 + 7 = = 8 0 8 3 0 4 = 8 5. 57. 44 6 ( - 3 ) + 3 = 4 : 0 3 4 = : 0 36-3 - 36 = 3 0: 0 36 84 8 ( 3 36-36 ) 0 + = 40 3 = 48 84 8 ( 3 36-36 ) 0 + = 44 36 = 44 40 44 8 ( 3 36-36 ) 3 36 = 5 58. 45 5 - = 5 48 44 5 + 5 5 + = 90 5 90 53. : = 59. 00 x 60 00-48 = 00 x x = 90 00-90 = 0 0 530. x

x + 6 x = - 0% x = 4 4 : = 3b: 53. 3 a = 36: 3 3 5 : 4 4 = 5: 6 = 9: 9 6 = 44 AD: DE = EF: CF ( 3 3 5 + 4 4 3 ): ( 3 DE EF = AD CF = 5 6 5 + 3 4 4 3 ) = 46: 47 6 47 = 8 ADC 3 + 3 = 3 4 = 3 5: ( 3 3 5 + 4 4 4 3 ) - 3 7 = 9 8 = 45: 46 AEC = AE DCE 6 44: 8 46 9 = 540: 08 8 : 3 7 = AE: 6 45 AE = 4. 5 540: 08 AE 4. 5 53. 5 6 : 4 8 : 4 536. AB 9. 5 BC 3 AB: BC =. 5: 3 =9: 4 6 5 : 8 4 : 9 = 8: 40: 45 4 = 3 BC = 3 a = 3b a: b = : ( 6) 9: 534. = 30 30 BDEF 30 535. ABC AEC ADC - DCE AB BC 9: 4 537. ABCD = PQRS APQ 0 5 8 0 + 0 0 8 5 : PQRS APQ 0 5 8 0 + 0 0 8 5 + 7 40 5 5 + 6 45 7 5 PQRS = 4 = 3: 79 : 3: 79 4 = 4: 533. 4: ABCD 4 b = 4 DC 538. x y 99

5 4x y = x = y. 5y 9 4x:. 5y = ( 4 y ):. 5y x + y 9 = y:. 5y 3 = 4: 5 4x +. 5y 3 4: 5 x + y 9 = 4x +. 5y 3 00

3 3 54 4 4 4 539 6 4 - = 4 36 3 8 = 9 9 00 3 8 3 3 54 0 4 3 4 360 6 = 60 3 8 60 = 30 540 3 3 3 60-0 - ( ) = 54 6 3 60-0 - = 0 3 3 54 6 3 0 5 543 7 3 x 5 - x = x x = 3 3 3 3 3 7 7 3 7-3 = 4 0

7-3 - = 4 = 9 544 8 9 8 60 = 60 ( + ) = 55 5 3 0 55 5 3 0 ( - 0 ) = 0 8 0 0 8 43 7 545 7 00 546 9 60 8 40 40 ( - ) = 43 7 547 7 8 360 7 = 0 0-00 = 0 00 360 60 = 6 60: 60 + = 30: 3 = 30 3 8 4 6 4 30 3 = 3 7 3 8 = 0. 5 0 6-3 7 8 + 3 = 3 0. 5 = 0 7 0 00 ( 60 7 3 = 5 8 3) 0 5 8 3

548 553. 8 48 0 00 4 4 5 6 75 554. 30 555. 8 9 8 8 8 556. 7 8 7 8 0 4 4 0 =. 4 6 75 6 75 00-5 = 3 557. 9 4 80 3 4. 4 = 4. 4 4 549. 0 60 563. 4 5 00 550. 4 90 564. 5 9 90 55. 45 0 558. 6 45 559. 8 8 80 560. 99 56. 3 56. 565. 999 6 36 55. 8 30 03

04 575. 5 6 566. 9 0 5 9 567. 0 7 568. 7 8 569. 6 577. 7 50 570. 5 34 57. 000 4 578. 9 8 000 996 579. 9 57. 8 0 995 8 573. 3 5 55 8 5 55 4 574. 0 58. 7 8 7 9 8 0 9 8 998 4 8 5 7 6 576. 8 8 580. 58. : 00 : 00 583. 7 9 3

584. 9 7 5 593. 0 585. 0 5 4 586. 0 3 0 0 0 4 5 7 6 50 594. 7 7 587. 30 3 9 5 595. 7: 00 9: 00 5 6 5 5 596. 9 0 588. 4 99 997 597. 589. 4 6 598. 65 590. 65 4 : 00 599. 66 6: 00 600. 66 6: 00 8 8 998 59. 4 60. 6 4 9 9 59. 5 3 60. 9 05

06 603. 549. 0 30 30 60 = 60 550. 6 604. 0. 5 4. 95 90 90 80 6-0. 5 = 3 8 33 33 55. 9 999 90 360 360 = 30 45 30 605. 45 = 5. 5 60 6 5 5. 5 90 + 5. 5 = 4. 5 4. 5 606. 3 0 0 55. 60 9 360 60 = 6 8 30 6 8 9 607. 6: 00 6: 40 6 = 75 3 75 553. 8 4 360 8 = 45 4 4 4 45 = 99. 5 4 4

. 5 554. 5 560. 5-30 = 5 5 5 5 5 0 0 - = 9 30 3 5 5 9 555. 40 ( + ) = 36 3 5-8 36 = 6 4 3 6 4 556. 7 35 56. 0. 5 0 6 0 35-0 ( - ) = 6 4 7 6 4 360 6-0. 5 = 65 5 4 60 65 5 = 0 0 35 + 0 ( - ) = 60 563. 0-8 ( ) = 9 7 6 4 8 4 9 0 557. 9 45 65: 60 = 3: 60 3 = 3 80 30 = 60 3 3 = 66 3 = 45-30 - = 6 4 6 4 80 5-558. 6 45 9 6 0. 5 45 =. 5 90 -. 5 = 67. 5 86 5 5 56. 3 5-60 = 6 4 564. 46 9 3 3 67. 5 565. 559. 8 40 8 6-0. 5 8 = 54 35 40-54 = 86 5 35 5 07 = 0 0 46 9 3 3 0 0

5 57. 60 3 + 7 + 60 + = 0 60 + = 40 8 40 60 57. 5 - = 4 60 + = 3 4 566. 70-90 6-0. 5 = 3 8 9 3 8 567. 70 50-70 6 ( - ) = 5 5 90 50-5 ( - ) = 38 0 5 5 0 38 0 8 9 0 = 98 568. 0 - = 9 50 - = 54 6 7 8 7 9 7 54 6 3 573. 4 8 6 x 6 4 = x 3 x = 574. 8 8 60 = 70 70 7 = 0 6 98 0 = 45 8 8 0-8 = 8 575. 5 x 6 x - 30 = 5 - x 08 569. 360 60 = 6 360 60 = 0. 5 360 360 6-0. 5 5 7 6 + 60 5 = 300 5 7 7 5 7 300 58 60 = 30 0 9 570. 5 360 5 = 50 80 0 0 9 80 + 50 6-0. 5 = 60 0 0 5 60 6 9 x = 3 4 3 5 3 4 3 576. 60 58 577. 6 34-8 8 = 8 8 8-7 50-8

= 6 6 578. 30 90-30 6-0. 5 = 0 0 0 0 5 30' 90 0 5 90 + 579. 0 5 0 6 4 30' 0 6 = 60 67 60 67 580. 8 5 55 8 9 0 4 ( - 0 0 4 ) 60 = 9 4 9 4 585. 0 5 0 30 0. 5 = 307. 5 360-307. 5 = 5 30' = 4 30' 586. 60 0 0 + 0 = 0 0 0 0 = 00= 3 0 6 56 40 6 56 40 595 595 587. 59 = 0 0 6 0 6 588. 99 4 = 79 3 58. 360 3 + 4-4 = 3 360 = 30 x 3 360-30 x 330 x 589. 330 x = 90 60 - : 60 = 59: 60 59 : 60 58. 30 ( - ) = 3 8 6 59 60 = 6 6 59 3 8 = 6 6 6 59 6 6 6 583. 7 9 8 5 7 59 75 4. 5 + 3 = 7. 5 590. 9 60 75 4. 5 7. 5 4 60 + = 4 9 60 9 ( - 60 + ) = 9 3 584. 9 7 0 9 6 : 00 3 0 + 5 = 59. 60 6 = 0 60 9 = 80 0 09

0 80 40 0 0 40 43 59. 5 599. 65 5 60 60 5 60 60 5 4 = 7 3 7 6 ( 66-65 5 ) 4 60 66 6 = 09 593. - 3 = 6 09 0 600. 4 5-6 = 7 8 5 65 5 0 66-65 5 = 0 8 5 594. 6 6 55 7 + = 3 3 39 9-7 = 595. 7 8 7 60. 5 + = 3 5 5 7 3 3 7 38 7 50 0 3 3 9 3 3 6 603. 4 = 48 60-60 = 9 0 48 6 60 + 60 = 0 596. 80 6-0. 5 = 3 8 3 8 4399 597. - 4 3600 = 4 3600 30 30 598. 65 5 65 = 43 43-60 4 = 0 0 43 8 60. 5 - = 4 7 9 0 0 = 4399 4 3600 4 4 = 6 = 4 6 604.

60 = 0 50 0 55 0 55 = 30 30 =4 30 4 30-0 =40 = 0 0 607. 605. 5 6 - - - 6 3 + 6 3 4 = 3 3 = 3-4 606. = 9 + - 0 = 8 50 8 3 3-3 - [ ] = 4 4 50 - - 3-0 = 40 4 40 =0 0 3 0 50

3 x + 3y = 8 + +. 6 3 5 7 a + b = 99 { b - c = 990. 55 a 3 + b 5 + c. 64 7. 75 35a + b + 5c. 35a + b + 5c a 3 b 5 c 7 5 3 3 35 3 a 3 a = b 5 b = 608 3 = A + B A B c 7 3c = 3 3 A B 997 A B A > B A < B 3 = 6 + 6 A < 6 6 < B < A > 6 3 3 < B < 6 609 B 4 5 3-4 = 3-5 = 5 B 4A A= 4 B = A= 4 B = A= B = 4 60 7 3 6 x y 7x + 3y = 60 3 x + y = 4 5 - x x x 8 3 x = 3 x + y = 6

x = 6 x + y = x + y + z = 0 6 6 { 9x + 5y + z = 6 x y z - 6 80 7x + 3y = 4 8 7 x 5 5 x = 5 y = z = 3 5 x y 63 995 - x - y 35 4 8x + 7y + - x - y 5 = 80 30 45 3x + y = 0 x < 7 y 0 3x = 0 - y3x x 4 6 x = y = 7 - x - y = 3 x = 4 y = 4 - x - y = 4 x = 6 y = - x - y = 5 7 + 3 = 0 4 + 4 = 8 + 5 = 6 3 < m 45 0 8 6 469 < 4m + 35 665 665 4m + 35 = 665 665x = 995 x = 3 3 6 9063 9 5 59 0 0 997 6 993 x x y z m 3 < m 45 x x 4m + 35 x = 995 995 995 = 3 5 7 9 469 665 995 64 y m 0x + m + y = 9063 { x + 000m + y = 59 3

- y x - m = 76 a b c d m 0 m y < 0 { b + c + d = 3 m = x = 837 y = 69 a + b + c = 34 83769 a + d - b + c = 3 83769 + - 3 b + c 3 = 3 + 34-3 a + d = + 88 = 89 4 a + b + c + d = a + d + b + c = 89 + 88 = 77 4 77 b = 4 d = 8 b = 9 d = 3 a + c = 9 a = 3 c = 6 3963 3963 b + c = 88 67 70 0 65 3 5 7 9 999 376 994 x y a b x + y + a + b = 0 a b c d 3x + 5y + 7a + b = 70 c d a b - a b c d - 3 y + 4a + 8b = 40 3 7 6 y + a + 4b = 0 b + d = b - d = 6 y b < 5 b = 9 d = 3 b = 4 d = 8 b = 4 y = a = x = 3 b = 3 y = 4 a = x = y = a = 3 x = b = y = a = 5 x = b = 4 66 3 3 4 4 3 3 3 3 34 5 34 4 4 4 990 4

990 69 68. A B A + B 3 = 3 A 33 B 5 69. a b 5 < b a < 4 a + b = 7 67. 90 a = b = A 60. A B + B 3 x = y = 63. 00 63. 38 999 38 65. 0 8 66. 7 7 5 3 68. 46 = 7 5 0 6 33 A+ B = 4 993 69. 89 A B 6. x 9 < 4 5 < y 7 4 9 x y 4 9 630. 48 30 4 6. A + 4 B + 4 C = 96 5 A B C 306 993 ~ 994 63. 374 36 4 90 90 64. 6 4 5 7 5

6 633. 00 643. a 5 3 b 5 6 c 7 8 a b c 0 a b c 634. 5. 8 644. 0. 9 0. 4 98 635. 5 3 6 645. 3 636. 80 8 7 5 8 637. 0 997 646. 638. 3 6 3 9 4 33 647. 7 9 997 68 5 639. 648. 799 3 7 3. 5 4 999 0 4. 640. 99 649. 994 3 5 7 0 64. 7 30 650. 4 3 8 64. 43 5 7 a b a + b 65. 0. 83. 0 0

5 9. 99 40 0 000 659. a + b + c + 3 4 = 66. 60 99 00 654. b a - d c = 996 a b c d a > b c > d d 4 a = b = c =. 35 d = 996 998 663. 06 655. 3 8 5 4 664. 4 46 a a 0 65. 9 470 350 660. 3 760 000 998 66. a b + 3 = x a b 653. a b c 0 a > b > c 000 x x a = b = c = 999 5 6 656. 6 0 5 6 886 6 99 665. 0 7 4 0 00 657. 3 666. 347 3 658. 99 7

8 667. 0000 673. 0 0. 45 00 0 0 0. 80 0. 50 7. 0 3. 75 3 668. 5% 000 9 674. 0 4 997 7 9 669. 5 5 7 5 997 675. 670. 5 3 3 0 5 5 6 6 8 994 338 67. 998 50 5 50 8 676. abc a b c 3 3 743 abc 67. 5 00 677. 000 678.

6 3 0 5 0 998 679. 4 48 685. 9 9 3 7 80 686. 998 3 998 5 680. 6 0 44 00 5 0 999 6 687. 68. 4 7 7 0 000 000 688. 0 53 5 6 4 453 3 5 689. 400 50 8 00 68. 8 90 9 3 8 000 683. 989 7 69. 54 6 7 6 3 684. 8 0 4 6 690. 950 00 7 9 3 8 0 9

400 550 697. KLMN 30 A 0 A A A 3 A 0 69. 5 60 693. ) 6 3 3 3 00 694. 0 998 997 68. 33 3A+ B = 3 B B < 3 60 B = A B = A= 3 695. 00 A 3 B 7 69. 5 4 3 000 3 5 < b a < 3 3 4 3 3 a + b = 7 b a = 3 4 ( 0 696. A B C a 4 b 3 60. 33 D E 3A+ B = 7 C = a = 4 b = 3 B B 993 A= 7-3 = A+ B = + = 3 A+ B 3 6. 4 5 = 6 0 5 9 < 6 0 < 6 9

x 5 y 6 6. 4 A + B + C = 49 5 5 + 3 + 45 = 49 9 + 5 + 5 = 49 A + B + C = 49 5 = 5 + 3 5 + 45 5 = 5 + 75 + 5 A + B + C = 49 5 = 9 5 + 5 5 + 5 5 = 5 + 5 + 60 9 68. x y A B C 5 75 5 5 5 9 5x + 0y + 6x 4 - x - y = 46 63. x y 9x + 4y = 4 x < 5 x = x = = x + y y = 6 + = x x + y + x + y + x = 00 3x + y = 00 x y 0x > y y = 0-3 = 7 x y 3 7 64. 5 x 7 y 5x + 7y = 64 y < 9y 0 8 y = 7 x = 0 3 0 + - 7 + 3 = 630. x y 65. m 48x + 30y = 306 n 00m + n = 0m + n 8 + 0m = 8n 5m = 4n m n m = 4 n = 5 45 66. a 0a + 7 7 00000 + a 7 00000 + a = 0x + 7 5 a = 485 485 67. x y x x 80 5x + 3y = 90 90 3 5 3 x 3 80 3 = 60 3 60 69. x y 7x + 4y = 89 x < 3 x = 3 x = 7 x = { y = 7 { y = 0 { y = 3 4 3 + 9 7 = 95 4 7 + 9 0 = 88 4 + 9 3 = 8 8 < 88 < 95 3 8 8x + 5y = 5 x < 7 x = y = 7 7 63. 36 x 4 y 36x + 4y = 374

3x + y = 3 63. 38 x 90 b 9 b = 5 a = 7 y 38x + 90y + x + y - = 000 3x + 7y = 77 39x + 9y = 00 x y y < y = 8 x = 7 = 33 00000a + b 38 7 90 300000a + 3b = 0300000 8 03-3a 05 b = 633. x 3 5x + + x + 5 5x + + = 00 3 x = 3 634. 0. 9 x 639. abcd 0. 4 y 0. 9x + 0. 4y = 5. 8 x 6 x = y = 0x = 6 y = 0. 9 0. 4 0 d = 0 0. 9 6 0. 4 a = d = 9 635. 3 x 5 y b = c 9 999 3x + 5y = 3 y 6 y = x = 7 6 640. 9ab y = 5 x = + 9 + a + b = 99-9ab 3 5 5 0 + a + b = 9-0a - b a + b = 8 636. 8 x 7 a = 7 b = y 97 8x + 7y + 5x - x - y = 8 994-97 = 3x + y = 0 x 6 { x = y = 7 x = 4 x = 6 { y = 4 { y = 8 4 6 637. 9ab + 9 + a + b = 997-9ab 0 + a + b = 97-0a - b a + b = 87 975 975 638. a b 0300000 + 000000a + b 0 4 < b < 0 5 a > 7 a < 9 a = 8b = 59375 859375 a b c d + 7 9 9 d c b a a a = a = a = 999 994 64. abc 00a + 0b + c = a + b + c 7 7b + 6c = 83a a = b = 5 c = 3 53 64.

a + 35 = 7b 8 + a 43 + b = 7 7 b - 5 a = 7 aa 7 b a + b = 7 + 7 = 4 a + b 4 643. a 3 = 3a + 3 b 5 6 = 6b + 5 6 3a + = 6b + 5 = 8c + 7 c 7 8 = 8c + 7 8 7 7 5 3 3 - a + 5b = a = b = c = 5 5 647. a b c 7a + 9b + c = 68 { 5a + 7b + 9c = 5 7-5 b + c = 6 a b c 0 c a = 7 b = 3 c = { a = 3 { a = 4 a b c 7 3 b = 4 b = 644. a b c = c = c 3 { a + b + c = 4 4 a + 5b + 0c = 00 - a b c 4b + 9c = 79 3a + 7b + c = 3. 5 c < 9 c = 7 b = 4 a = 0 { 4a + 0b + c = 4. c = 3 b = 3 a = 5 3-0 4 a + b + c =. 05 648.. 05 645. x y z 649. a b < x < y < z c 3 4 x y z 9 { a + b + c = 30 3 5 = 30 4 5 = 40 a + 3 b + 5 7 c = 0 3 4 5 = 60 30-49a + b = 60 x y z = 3 4 = 4 4 { a = { a = 4 { a = 6 4 7 = 3 b = b = b = 3 3 3 c = 7 c = 4 c = 646. 7 4 4 6 3 a b c 650. 4 3 6a + 3b + c = a b c { 9a + 4b + c = 4a + 3b + c = 5 3

4 a 0 3 a = 4 b = 3 c = 499 d = 374 6 4 3 6 + 4 + 3 + = 5 655. ab ba 5 ab - ba = 0a + b - 0b + a = a - b 9 65. 0. 83 a. 0 b 0. 83a +. 0b = 9. 99 83 a + b + 8b = 83 3 + 8 5 a = 8 b = 5 656. a b c 6 40-8 + 5 = 7 40 7 abc + acb + bac + bca + cab + cba 65. a = 886 b a + b + c = 886 470a + 350b = 760 a + b + c = 3 a b c 47a + 35b = 76 3 a > b x y b 3 - - 3 = 9 a = 6 b = 7 39 657. a 7 653. a + b + c = - 3 4 = 3 4 a b c 4 3 + 4 + 6 = 3 4 < 3 4 c = a + b = 3 4 - = 4 4 + 6 = 5 < 4 b = 3 a = 4-3 = 8 a = 8 a = 8 b = 3 c = 654. a c x = 996996 = 4 499c = 499 998 a 4 b = b = 3 3 4-996 = 496 996 = 374 a > b 4 4 9 a - b 4 a - b = 4 8 9 8 9 8 b 3a + b = 347 a a = 5 b = 6 5 6 658. x y x + 5y = 99 x 8 x = 7 y = 37 + 3 = 0 x + y > 0 x = y = 5 5 659. x 9x - = ax + 0 9 - a x = = = a 9 660. x y 499 3x + y = 000 x